Rewrite (10 + 6) + 5+ 3 using the Associative Law of Addition,
O 10+6+5+3
O 10+(6+5) + 3
O 3+5+ (10+6)
O (10+6) + 3+5

Answer:

Henderson family spent 40 hrs, while Ramirez spent 15 hrs.

Step-by-step explanation:

Let t = time in hrs the Henderson family used their sprinkler

Let 55 - t = time in hrs the Ramirez family used their sprinkler.

40t+35*(55-t)=2125

40t+1925-35t=2125

calculcate this and you will get t=40.

then 55-40=15.

So, Henderson family spent 40 hrs, while Ramirez spent 15 hrs.

Answer:

A)50°F = 10°C

B)75°C = 167°F

C)-40°C = -40°F

Step-by-step explanation:

A) 50°F = 10°C

Formula

(50°F − 32) × 5/9 = 10°C

B) 75°C = 167°F

Formula

(75°C × 9/5) + 32 = 167°F

C) -40°C = -40°F

Formula

(-40°C × 9/5) + 32 = -40°F

Answer: hope this help

step-step explanation:

The property of addition that represents this is the zero property of addition

The equation is given as:

a + bi + 0 + 0i = a + bi

In the above equation, the number is added by 0 and the result is the initial number

The property of addition that represents this is the zero property of addition

Because it states that

a + 0 = 0

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Answer: C=550+121m

Step-by-step explanation:

The statement that best interprets the quotient is "there are 6( 1/4 ) two  - third in 4( 1/6 )".

In mathematics, the sum obtained by diluting two numbers is known as a quotient. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

Any integer may be used as the larger number in a fraction, which is a number that represents a percentage of the larger number. It is shaped like a denominator and a numerator.

For step 1:

The shaded part is:

4 + 1/6 = 4(1/6) = 25/6

Now, dividing the shaded part by the unshaded part,

( 25/6 ) / ( 2/3 ) = ( 25/6 ) × ( 3/2 )

( 25/6 ) / ( 2/3 ) = 25/4

( 25/6 ) / ( 2/3 ) = 6( 1/4 )

Hence, there are 6( 1/4 ) two  - third in 4( 1/6 ).

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The proportional relationship of the given statement is a between x and y and the constant of proportionality is 0.5.

According to the statement

We have to find that the constant of proportionality.

So, For this purpose, we know that the

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

From the given information:

each equation represents a proportional relationship.

Then

We know that the A proportional relationship is one in which two quantities vary directly with each other

That's why

An equation has a proportional relationship if it can be written in the form y=kx where k is the constant of proportionality.

A linear function of x is given as y = 0.5x - 2.

Yes, this function of x represents a proportional relationship between x and y.

The constant of proportionality is given to be 0.5 provided that the dependent variable y has an initial value of - 2 at x = 0.

The graph of this equation will be a straight line and that means that the equation consists of a proportional relationship.

So, The proportional relationship of the given statement is a between x and y and the constant of proportionality is 0.5.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Determine whether each equation represents a proportional relationship. if it does identify the constant of proportionality. y = 0.5 x -2

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Answer:

f(X) = ( - X) ½

is the answer

pls brainliest

Answer:x/5 + 2b/5

Step-by-step explanation:

9a-2b=c+4a solve for a

9a-2b=c+4a

add -4a to both sides

9a-4a-2b=x+4a-4a

5a-2b=x

add 2b to both sides

5a-2b+2b=x+2b

5a= x+2b

divide by 5

5a/5 = x/5 +2b/5

a= x/5 + 2b/5

Answer:

consumer panic

Step-by-step explanation:

The length of the guy wire, to the nearest foot is 48 ft.

A unit of length (or distance) in US units equal to 12 inches. The abbreviation is: ft. Or sometimes the single quote mark: ' Example: 10 feet can be written 10 ft, or just 10' A foot is exactly 0.3048 meters in the Metric System (the foot is defined that way).

Step-by-step explanation:

Here, we want to find the length of the wire

from the diagram, we can identify two similar triangles

The smaller one and a bigger one

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

We can start by getting the height of the tower

we have this as:

8/11 = 28/x

8 * x = 28 * 11

8x = 308

x = 308/8

x = 38.5 ft

So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height

So we can use the Pythagoras’ theorem to get the hypotenuse

Let us call this g mathematically;

According to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

thus, we have it that;

g^2 = 38.5^2 + 28^2

g^2 = 2,266.25

g = √2,266.25

g = 47.61 which is approximately 48 ft

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Answer: x = [tex]\frac{-31}{23}[/tex], y = [tex]\frac{-9}{23}[/tex], z = [tex]\frac{-83}{23}[/tex]

Step-by-step explanation :Solving system of equations

Given the following system of equation below

 - 4x + 2y + z =1 .......(1)

x − y + 3x =  −5 ........(2)

3x + y − 4z = 10.........(3)

first we solve eq 1 and eq 3:

we get, -13x + 9y = 14 ..........(4)

Now we solve eq 2 and eq 4 and get value of x and y:

we get,  x = [tex]\frac{-31}{23}[/tex] and y = [tex]\frac{-9}{23}[/tex]

finally we put value of x and y in eq 1 and get the value of z:

-4(-31/23) + 2(-9/23) + z = 1

106/23 + z = 1

z = 1 - 106/23

z =[tex]\frac{-83}{23}[/tex]

Hence the solution of equation is ([tex]\frac{-31}{23}[/tex], [tex]\frac{-9}{23}[/tex], [tex]\frac{-83}{23}[/tex])

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The equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C.

m = (55.5 - 19)/5

We are to deduce from the question the equation that may be used to calculate, m, the average number of miles she would have to ride to reach her objective.

Given:

"Arianys wants to ride her bicycle 55.5 miles"

and

"She has already ridden 19 miles"

Hence,

The number of miles she needs to ride more is

55.5 miles - 19 miles

= 36.5 miles

'

If m is the average number of miles she must cycle in 5 days to reach her objective,

Then, we can write that  

m = 36.5/5

OR

m = (55.5 - 19)/5

As a result, the equation that may be used to get m is 5m = 55.5 - 19.

C. m = (55.5 - 19)/5 is the right answer.

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Using the Pythagorean Theorem, it is found that the length of AB is of 8.54 units, considering that BC = 3 and that AC = 8.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

For this triangle, we have that:

Hence the length of AB is given as follows:

h² = 3² + 8²

h² = 73

h = sqrt(73)

h = 8.54 units.

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Answer:

A, B, C yes

D no

Step-by-step explanation:

A. is a no-brainer. yes, that is indirectly implied.

B. this is compared to D a hidden assumption, that the money you give is guaranteed to be spent on worthwhile causes (not to mention what THAT actually means).

C. this goes combined with B. it is suggested that charity A is not engaging in unworthy causes (again, whatever that means).

D. is not hidden. that is openly said.

Answer: 1/10

Step-by-step explanation:2 * 1/5 is 2/5 and 1*3/10 is 3/10 and when you subtract them you get 1/10

Answer:9/10

Step-by-step explanation:get 2 1/5 into a improper fraction thats 11/5 then multiply by to for the common demontor thats 22/10

get 1 3/10 into a improper fraction 13/10

then minus 22-13 thats 9

then bring in the bottom 9/10 hope that helps

Answer:

radius

Step-by-step explanation:

Answer:

Q3

Slope = 5

Standard= y=5X+15

Q5

Slop =-4

Standard= y=-4x+4

Step-by-step explanation:

m=-5-5/-4+2=-10/-2= 5

y-5=5(x+2)

y-5=5x+10

y=5x+15

Answer:

Step-by-step explanation:

(a).

Within 1 year, there would be 4 payments to be made.

therefore, PMT= [tex]\frac{P(1+i)}{n} = \frac{2500(1+0.025)}{4*5} =\frac{2562.5}{20} = $128.125[/tex]

(i) 1st payment will be :PMT $128.125

(ii) 2nd payment will be :128.125*(1.025)^1= $131.33

(iii) 3rd payment will be :128.125*(1.025)^2=$134.61

(iv) 4th payment will be :128.125*(1.025)^3=$137.98

Hence the payments are: $128.125, $131.33, $134.61, and $137.98.

(b).

The size of the final payment [tex]PMT(1+i)^{m-1}[/tex] where m 4 *5= 20

[tex]=128.125(1+0.025)^{20-1} \\=128.125(1.025)^{19} \\=$204.83[/tex]

The function of the number of DVDs Angel owns (a) will be a = p + 10

From the information, Angel owns 10 more DVDs than Philip.

The number of DVD that Philip owns was represented asp.

Therefore, the function of the number of DVDs Angel owns (a) will be:

a = p + 10

Therefore the function is a = p + 10

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The average number of miles she would have to ride each day to meet her goal is 4.7.

It is required to find the average number of miles she would have to ride each day to meet her goal.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

Bilquis wants to ride her bicycle 47.6 miles this week. She has already ridden 8 miles. she rides for 6 more days.

According to given question we have,

8+4x=26

Rearrange unknown terms to the left side of the equation:

4x=26-8

4x=18

Divide 4 on both sides of the equation we get,

4x/4=18/4

x=18/4

x=4.7

Therefore, the average number of miles she would have to ride each day to meet her goal is 4.7.

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Step-by-step explanation:

y of o but you dont have to use y

Answer:

25 and 32

Step-by-step explanation:

32 - 25 = 7

32 x 25 = 800

Answer:

f(x) = $65x + $50

f(4.5) = $342.5

  The real-world interpretation of f(4.5) would be an emergency service call where they have to work for 4.5 hours.

Step-by-step explanation:

         We will write a function where x is the hours. Since you pay $65 for every hour, we will multiply $65 by x. Next, there is a fee of $50 so we will add that onto the end.

     f(x) = $65x + $50

         Now, we will plug 4.5 into the function for x and solve.

     f(x) = $65x + $50

     f(4.5) = $65(4.5) + $50

     f(4.5) = $292.5 + $50

     f(4.5) = $342.5

         The real-world interpretation of f(4.5) would be an emergency service call where they have to work for 4.5 hours.

$3000 and $12000

If you know the principal amount, the rate of interest, and the time periods, you can use the simple interest formula to calculate the interest.

The following is a simple interest formula:

   SI = P *R * T /100

Where SI = simple interest

Principal (P)

interest rate, or R (in percentage)

T is the time period (in years)

The following formula is used to determine the overall sum:

Sum (A) = Principal (P) + Interest (I)

Where,

The entire amount repaid at the conclusion of the borrowing period is indicated by the letter (A).

You can also write the total amount formula for simple interest as follows:

A = P(1 + RT)

X+Y = $15000

0.04x + 0.07y = 960

0.04x + 0.07 ( 15000 - x) = 960

0.04x + 1050 - 0.07x = 960

0.03x = 90

x = $3000

y= $12000

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Answer: 433.52

Step-by-step explanation: it depends if you have the pass or not

[tex]{\sf{12 \times ( - 4) = -48}}[/tex]

Answer's:

27. vertex: (-4, -5) and x-intercept: (√5 - 4, 0) and (-√5 - 4, 0)

28. vertex: (-5, -11) and x-intercept: (√11 - 5, 0) and (-√11 - 5, 0)

29. vertex: (1, 16) and x-intercept: (-3, 0) and (5, 0)

To find vertex, the quadratic function should be in f(x) = a(x - h)² + k form.

where:

27.

g(x) = x² + 8x + 11

completing square:

g(x) = (x² + 8x) + 11

g(x) = (x + 4)² + 11 - (4)²

g(x) = (x + 4)² - 5

g(x) = (x - (-4))² - 5

To find x-intercept: set y = 0

[tex]\sf (x + 4)^2 - 5 = 0[/tex]

[tex]\sf (x + 4)^2 = 5[/tex]

[tex]\sf x + 4 = \pm \sqrt{5}[/tex]

[tex]\sf x= \sqrt{5}-4, \ - \sqrt{5}-4[/tex]

Hence, the vertex is (-4, -5) and x intercepts (√5 - 4, 0) and (-√5 - 4, 0).

28.

f(x) = x² + 10x + 14

completing square:

f(x) = (x² + 10x) + 14

f(x) = (x + 5)² + 14 - (5)²

f(x) = (x + 5)² - 11

Find x intercept, so y = 0:

[tex]\sf (x + 5)^2 - 11 = 0[/tex]

[tex]\sf (x + 5)^2 = 11[/tex]

[tex]\sf x + 5 = \pm\sqrt{11}[/tex]

[tex]\sf x = \sqrt{11} -5, \ -\sqrt{11} -5[/tex]

Hence, the vertex is (-5, -11) and x intercepts (√11 - 5, 0) and (-√11 - 5, 0).

29.

f(x) = -(x² - 2x - 15)

f(x) = -((x² - 2x)) + 15

f(x) = -(x - 1)² + 15 + (-1)²

f(x) = -(x - 1)² + 16

Find the x-intercept's:

[tex]\sf -(x - 1)^2 + 16 = 0[/tex]

[tex]\sf -(x - 1)^2 = -16[/tex]

[tex]\sf (x - 1)^2 = 16[/tex]

[tex]\sf x - 1 = \pm\sqrt{16}[/tex]

[tex]\sf x - 1 = \pm4[/tex]

[tex]\sf x = -3, \ 5[/tex]

Hence, the vertex is (1, 16) and x intercepts (-3, 0) and (5, 0).

Answer:

[tex]\textsf{27.} \quad \textsf{Vertex}:(-4,-5) \quad \textsf{$x$-intercepts}: x=-4+\sqrt{5}, \:\:x=-4-\sqrt{5}[/tex]

[tex]\textsf{28.} \quad \textsf{Vertex}:(-5,-11) \quad \textsf{$x$-intercepts}: x = -5+\sqrt{11}, \:\:x=-5-\sqrt{11}[/tex]

[tex]\textsf{29.} \quad \textsf{Vertex}:(1,16) \quad \textsf{$x$-intercepts}: x = 5, \:\:x=-3[/tex]

Step-by-step explanation:

Vertex form of a quadratic function:

[tex]\boxed{y=a(x-h)^2+k}[/tex]

where:

Given function:

[tex]g(x)=x^2+8x+11[/tex]

Change to vertex form by completing the square.

Add and subtract the square of half the coefficient of x:

[tex]\implies g(x)=x^2+8x+11 +\left(\dfrac{8}{2}\right)^2-\left(\dfrac{8}{2}\right)^2[/tex]

[tex]\implies g(x)=x^2+8x+11 +16-16[/tex]

[tex]\implies g(x)=x^2+8x+16+11-16[/tex]

[tex]\implies g(x)=x^2+8x+16-5[/tex]

Factor the perfect trinomial:

[tex]\implies g(x)=(x+4)^2-5[/tex]

Therefore, the vertex is (-4, -5).

To find the x-intercepts, set the function to zero and solve for x:

[tex]\begin{aligned}g(x) & = 0\\\implies (x+4)^2 -5 & = 0\\(x+4)^2 & = 5\\\sqrt{(x+4)^2} & = \sqrt{5}\\x+4&=\pm\sqrt{5}\\x+4-4&=-4\pm\sqrt{5}\\x&=-4\pm\sqrt{5}\end{aligned}[/tex]

Therefore, the x-intercepts are:

[tex]x = -4+\sqrt{5}, \quad x = -4-\sqrt{5}[/tex]

---------------------------------------------------------------------

Given function:

[tex]f(x)=x^2+10x+14[/tex]

Change to vertex form by completing the square.

Add and subtract the square of half the coefficient of x:

[tex]\implies f(x)=x^2+10x+14+\left(\dfrac{10}{2}\right)^2-\left(\dfrac{10}{2}\right)^2[/tex]

[tex]\implies f(x)=x^2+10x+14+25-25[/tex]

[tex]\implies f(x)=x^2+10x+25+14-25[/tex]

[tex]\implies f(x)=x^2+10x+25-11[/tex]

Factor the perfect trinomial:

[tex]\implies f(x)=(x+5)^2-11[/tex]

Therefore, the vertex is (-5, -11).

To find the x-intercepts, set the function to zero and solve for x:

[tex]\begin{aligned}f(x) & = 0\\\implies (x+5)^2 -11 & = 0\\(x+5)^2 & = 11\\\sqrt{(x+5)^2} & = \sqrt{11}\\x+5&=\pm\sqrt{11}\\x+5-5&=-5\pm\sqrt{11}\\x&=-5\pm\sqrt{11}\end{aligned}[/tex]

Therefore, the x-intercepts are:

[tex]x = -5+\sqrt{11}, \quad x = -5-\sqrt{11}[/tex]

---------------------------------------------------------------------

Given function:

[tex]f(x)=-(x^2-2x-15)[/tex]

Change to vertex form by completing the square.

Add and subtract the square of half the coefficient of x:

[tex]f(x)=-\left(x^2-2x-15+\left(\dfrac{-2}{2}\right)^2-\left(\dfrac{-2}{2}\right)^2\right)[/tex]

[tex]f(x)=-\left(x^2-2x-15+1-1\right)[/tex]

[tex]f(x)=-\left(x^2-2x+1-15-1\right)[/tex]

[tex]f(x)=-\left(x^2-2x+1-16\right)[/tex]

Factor the perfect trinomial:

[tex]f(x)=-\left((x-1)^2-16\right)[/tex]

Simplify:

[tex]f(x)=-(x-1)^2+16[/tex]

Therefore, the vertex is (1, 16).

To find the x-intercepts, set the function to zero and solve for x:

[tex]\begin{aligned}f(x) & = 0\\\implies -(x-1)^2 +16 & = 0\\(x-1)^2 -16 & = 0\\(x-1)^2 & = 16\\\sqrt{(x-1)^2} & = \sqrt{16}\\x-1&=\pm4\\x-1+1&=1\pm4\\x&=5,-3\end{aligned}[/tex]

Therefore, the x-intercepts are:

[tex]x = 5, \quad x=-3[/tex]

Answer:

8

Step-by-step explanation:

(4/5)/(1/10)

oreja

take the top most number and bottom most number, multiply the two. Then multiply the two middle numbers.

(4*10)/(5*1)

Simplify and you get:

40/5

=8